Pith Number

pith:3DC25X3U

pith:2008:3DC25X3UIVWBDCMD3GDSQ5XLP6

not attested not anchored not stored refs pending

Heat-flow monotonicity related to the Hausdorff--Young inequality

Anthony Carbery, Jonathan Bennett, Neal Bez

arxiv:0806.4329 v1 · 2008-06-26 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DC25X3UIVWBDCMD3GDSQ5XLP6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:58:11.390227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8c5aedf74456c118983d9872876eb7fbf2c35a32269444ad9184a300fe66a86

Aliases

arxiv: 0806.4329 · arxiv_version: 0806.4329v1 · doi: 10.48550/arxiv.0806.4329 · pith_short_12: 3DC25X3UIVWB · pith_short_16: 3DC25X3UIVWBDCMD · pith_short_8: 3DC25X3U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3DC25X3UIVWBDCMD3GDSQ5XLP6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d8c5aedf74456c118983d9872876eb7fbf2c35a32269444ad9184a300fe66a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c093b8b0f447704ecf6bbad47fd5cac4129744d787d165bce7e01b5b4221c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-06-26T14:58:42Z",
    "title_canon_sha256": "bd9f8c552c93fb5e9e56e53e53e7307398beb05ad33f6d10aff9143ab11607b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.4329",
    "kind": "arxiv",
    "version": 1
  }
}